RING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH) : Anneaux à diviseurs et anneaux de Krull (une approche constructive)

• We give give an elementary and constructive version of the theory of "Prufer vMultiplication Domains" (which we call " anneaux a diseurs" in the article) and Krull Domains. The main results of these theories are revisited from a constructive point of view, following the Bishop style, and without assuming properties of complete factorizations.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Constructive mathematics

Divisor theory

Krull domains

PvMD

multiplication domains

ideal theory

divisors

Mathematics

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